What is the Greatest Common Factor of 40480 and 40494?

Greatest common factor (GCF) of 40480 and 40494 is 2.

GCF(40480,40494) = 2

We will now calculate the prime factors of 40480 and 40494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40480 and 40494.

How to find the GCF of 40480 and 40494?

We will first find the prime factorization of 40480 and 40494. After we will calculate the factors of 40480 and 40494 and find the biggest common factor number .

Step-1: Prime Factorization of 40480

Prime factors of 40480 are 2, 5, 11, 23. Prime factorization of 40480 in exponential form is:

40480 = 2⁵ × 5¹ × 11¹ × 23¹

Step-2: Prime Factorization of 40494

Prime factors of 40494 are 2, 3, 17, 397. Prime factorization of 40494 in exponential form is:

40494 = 2¹ × 3¹ × 17¹ × 397¹

Step-3: Factors of 40480

List of positive integer factors of 40480 that divides 40480 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 23, 32, 40, 44, 46, 55, 80, 88, 92, 110, 115, 160, 176, 184, 220, 230, 253, 352, 368, 440, 460, 506, 736, 880, 920, 1012, 1265, 1760, 1840, 2024, 2530, 3680, 4048, 5060, 8096, 10120, 20240

Step-4: Factors of 40494

List of positive integer factors of 40494 that divides 40480 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 397, 794, 1191, 2382, 6749, 13498, 20247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40480 and 40494. The biggest common factor number is the GCF number.
So the greatest common factor 40480 and 40494 is 2.

Also check out the Least Common Multiple of 40480 and 40494